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Finding the Fourth Proportional to 118,517.88, 177,776.82 and 47,472.78

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Solution

The fourth proportional to 118,517.88, 177,776.82 and 47,472.78 is: 71,209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,517.88 : 177,776.82 = 47,472.78 : x
  2. Step 2: Convert to fraction form
    118,517.88/177,776.82 = 47,472.78/x
  3. Step 3: Cross multiply
    118,517.88x = 177,776.82 × 47,472.78
  4. Step 4: Simplify right side
    118,517.88x = 8,439,559,864.96
  5. Step 5: Solve for x
    x = 8,439,559,864.96/118,517.88
  6. Step 6: Final answer
    x = 71,209.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.